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18808944 = 2437211727
BaseRepresentation
bin100011111000…
…0000001110000
31022101121000120
41013300001300
514303341234
61511050240
7315605400
oct107600160
938347016
1018808944
11a687490
126370980
133b8726b
1426d8800
1519b8049
hex11f0070

18808944 has 120 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 4878720.

The previous prime is 18808943. The next prime is 18808949. The reversal of 18808944 is 44980881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18808896 and 18808905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18808943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25509 + ... + 26235.

Almost surely, 218808944 is an apocalyptic number.

18808944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18808944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

18808944 is an abundant number, since it is smaller than the sum of its proper divisors (42937104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18808944 is a wasteful number, since it uses less digits than its factorization.

18808944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 18808944 is about 4336.9279449859. The cubic root of 18808944 is about 265.9427392905.

The spelling of 18808944 in words is "eighteen million, eight hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 727 784 924 1078 1176 1232 1454 1617 1848 2156 2181 2352 2908 3234 3696 4312 4362 5089 5816 6468 7997 8624 8724 10178 11632 12936 15267 15994 17448 20356 23991 25872 30534 31988 34896 35623 40712 47982 55979 61068 63976 71246 81424 95964 106869 111958 122136 127952 142492 167937 191928 213738 223916 244272 284984 335874 383856 391853 427476 447832 569968 671748 783706 854952 895664 1175559 1343496 1567412 1709904 2351118 2686992 3134824 4702236 6269648 9404472 18808944